3x[4x-(5x+1)]-3=-(4x+2)

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Solution for 3x[4x-(5x+1)]-3=-(4x+2) equation: 


Simplifying
3x[4x + -1(5x + 1)] + -3 = -1(4x + 2)

Reorder the terms:
3x[4x + -1(1 + 5x)] + -3 = -1(4x + 2)
3x[4x + (1 * -1 + 5x * -1)] + -3 = -1(4x + 2)
3x[4x + (-1 + -5x)] + -3 = -1(4x + 2)

Reorder the terms:
3x[-1 + 4x + -5x] + -3 = -1(4x + 2)

Combine like terms: 4x + -5x = -1x
3x[-1 + -1x] + -3 = -1(4x + 2)
[-1 * 3x + -1x * 3x] + -3 = -1(4x + 2)
[-3x + -3x2] + -3 = -1(4x + 2)

Reorder the terms:
-3 + -3x + -3x2 = -1(4x + 2)

Reorder the terms:
-3 + -3x + -3x2 = -1(2 + 4x)
-3 + -3x + -3x2 = (2 * -1 + 4x * -1)
-3 + -3x + -3x2 = (-2 + -4x)

Solving
-3 + -3x + -3x2 = -2 + -4x

Solving for variable 'x'.

Reorder the terms:
-3 + 2 + -3x + 4x + -3x2 = -2 + -4x + 2 + 4x

Combine like terms: -3 + 2 = -1
-1 + -3x + 4x + -3x2 = -2 + -4x + 2 + 4x

Combine like terms: -3x + 4x = 1x
-1 + 1x + -3x2 = -2 + -4x + 2 + 4x

Reorder the terms:
-1 + 1x + -3x2 = -2 + 2 + -4x + 4x

Combine like terms: -2 + 2 = 0
-1 + 1x + -3x2 = 0 + -4x + 4x
-1 + 1x + -3x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-1 + 1x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
0.3333333333 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.3333333333x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.3333333333x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.3333333333x + x2 = 0 + -0.3333333333
-0.3333333333x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.3333333333x + x2 = -0.3333333333

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -0.3333333333 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -0.3333333333 + 0.02777777779

Combine like terms: -0.3333333333 + 0.02777777779 = -0.30555555551
0.02777777779 + -0.3333333333x + x2 = -0.30555555551

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -0.30555555551

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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